Search a number
-
+
26223591969 = 341929472
BaseRepresentation
bin11000011011000011…
…000100001000100001
32111200120022111110000
4120123003010020201
5412201214420334
620014050330213
71615562565621
oct303303041041
974616274400
1026223591969
1110137596863
1250ba289969
13261bb9b033
1413aaa98881
15a3731d299
hex61b0c4221

26223591969 has 45 divisors (see below), whose sum is σ = 41387495457. Its totient is φ = 16544779416.

The previous prime is 26223591967. The next prime is 26223592019. The reversal of 26223591969 is 96919532262.

It is a happy number.

The square root of 26223591969 is 161937.

It is a perfect power (a square), and thus also a powerful number.

26223591969 is a `hidden beast` number, since 2 + 622 + 3 + 5 + 9 + 1 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 26223591969 - 21 = 26223591967 is a prime.

It is a super-2 number, since 2×262235919692 (a number of 22 digits) contains 22 as substring.

Its product of digits (3149280) is a multiple of the sum of its prime factors (1944).

It is not an unprimeable number, because it can be changed into a prime (26223591967) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27690754 + ... + 27691700.

Almost surely, 226223591969 is an apocalyptic number.

26223591969 is the 161937-th square number.

26223591969 is the 80969-th centered octagonal number.

It is an amenable number.

26223591969 is a deficient number, since it is larger than the sum of its proper divisors (15163903488).

26223591969 is an frugal number, since it uses more digits than its factorization.

26223591969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 969 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 26223591969 in words is "twenty-six billion, two hundred twenty-three million, five hundred ninety-one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 947 1083 1539 2841 3249 8523 9747 17993 25569 29241 53979 76707 161937 341867 485811 896809 1025601 1457433 2690427 3076803 8071281 9230409 17039371 24213843 27691227 51118113 72641529 153354339 323748049 460063017 971244147 1380189051 2913732441 8741197323 26223591969